Due: Wednesday, 5/21 (Presentations begin on 5/19)
Objective: to research an important figure in the history of mathematics.
Project: You will choose a famous mathematician. You will write a short (2 to 3 page) research paper about this mathematician and then present your findings to the class. Your paper should contain the following:
A.) biographical information about your mathematician B.) any significant contributions by this figure to the field of mathematics C.)any interesting controversies, conflicts or anecdotes surrounding your mathematician D.)a description of how your mathematician’s contributions are still relevant to the field today.
Requirements:
A.) Your paper must be typewritten, double spaced and 12 pt. font.
B.) You must have at least 3 references (internet resources are okay). Include a bibliography.
C.) DO NOT plagiarize. Any information or quotes should cite the source in some way (footnotes, etc.).
Period 3 - BC Calc - Calendar of Activities
Old Stuff:
Here are the screen shots of solution to the Integral Test problems from the Mass Insight packet.
Your Test Corrections for the Diff-E-Q, Parametric and Polar Function Test will be due next Wednesday, 3/26.
FEBRUARY BREAK ASSIGNMENT: You are expected to complete the following assignment for Feb. 24, 2014. I will collect these packets at the start of class on that day. You will be graded on completion and effort, not accuracy.
Today we did some Volume of Revolution free response problems. We did 2010 Form b 1 and 2010 4.
IF THERE IS NO SCHOOL TOMORROW:
ONLY IF NO SCHOOL - Read p. 412 - 425 the Length of a Curves (Section 7.4). Do p. 416, # 1- 15 ODD, 19, 38
Quiz Friday on Area and Volume
Today we learned about Volumes of Solids with Known Cross Sections, better known as the "slicing" method. Student were given a problem set which is due on Monday, 2/3.
Today we learned about integration by parts. Here are some materials and screen shots from the day. For homework, students should finish the first page of the AP Exam Questions Integration by Parts handout.
Also, please take moment to read p. 363-363 on Partial Fractions
2nd Quarter Project - Due Tue 12/3: Create an illustration / example for one of the concepts / vocab terms that we've learned. Do this on 8.5 x 11 inch paper. I will post these on my bulletin board and on my wall. Make the topic or term very clear. Think of it as a "mini poster". Be creative and have fun with it!
Here is the Rubric that I will use to score the project.
Here are the links to the videos from the day's when I was out:
Here is how you can mark up a multiple choice "Theorems" problem like 2003 AB 80 from the Mean Value Theorem handout.
On Friday, students learned the process for identifying local and absolute extreme values of functions and how to justify these ideas. Here is a screen shot of the "special cases" function which I discussed with notes added.
Students worked on the Linear Approximation Link Sheet during class. We will have a quiz on Wednesday on Implicit Differentiation, Related Rates and Linear Approximation.
We did two challenging AP multiple choice problems, one using Linear approximation and one using related rates.
Period 3 - BC Calc - Daily Notes
End of Year Mathematicians Project
Today I assigned the Mathematicians Project. It will be scored using this rubric.
See below for more information:
Calculus – 4th Quarter Project
Due: Wednesday, 5/21 (Presentations begin on 5/19)
Objective: to research an important figure in the history of mathematics.
Project: You will choose a famous mathematician. You will write a short (2 to 3 page) research paper about this mathematician and then present your findings to the class. Your paper should contain the following:
A.) biographical information about your mathematician
B.) any significant contributions by this figure to the field of mathematics
C.)any interesting controversies, conflicts or anecdotes surrounding your mathematician
D.)a description of how your mathematician’s contributions are still relevant to the field today.
Requirements:
A.) Your paper must be typewritten, double spaced and 12 pt. font.
B.) You must have at least 3 references (internet resources are okay). Include a bibliography.
C.) DO NOT plagiarize. Any information or quotes should cite the source in some way (footnotes, etc.).
Period 3 - BC Calc - Calendar of Activities
Old Stuff:
Here are the screen shots of solution to the Integral Test problems from the Mass Insight packet.
Integral Test 1
Integral Test 2
Integral Test 3
Integral Test 4
Integral Test 5
Integral Test 6
I handed out the Problem Set Infinite Series, which will be due next Tuesday.
You will also have a test next Tuesday, 3/27
Your Test Corrections for the Diff-E-Q, Parametric and Polar Function Test will be due next Wednesday, 3/26.
FEBRUARY BREAK ASSIGNMENT: You are expected to complete the following assignment for Feb. 24, 2014. I will collect these packets at the start of class on that day. You will be graded on completion and effort, not accuracy.
February Break Assignment - Parametrics Packet
Today we went over the material from "Assignment 2 - Differential Equations and the AP Exam" (See Below).
For tomorrow, students should work on completing 2005 AB6 and 2006 (Form b) AB 5
Assignment 1 - AP Free Response Questions - Integration by Parts and Average Value
Assignment 2 - Differential Equations and the AP Exam - Read and mark-up the handout. There are two problems at the end to try out. We'll go over this on Wednesday in class.
I will check these when I see you on Wednesday.
Today we did some Volume of Revolution free response problems. We did 2010 Form b 1 and 2010 4.
IF THERE IS NO SCHOOL TOMORROW:
ONLY IF NO SCHOOL - Read p. 412 - 425 the Length of a Curves (Section 7.4). Do p. 416, # 1- 15 ODD, 19, 38
Quiz Friday on Area and Volume
Today we learned about Volumes of Solids with Known Cross Sections, better known as the "slicing" method. Student were given a problem set which is due on Monday, 2/3.
Click here for Problem Set 11.
Here are some screen shots from class to help you with the method:
Here is the formula to use for volumes of cross sections
Here are the steps to follow
Here are the initial steps for Set up
Here is the set up of the integral
Here is the evaluation of the integral
Midterm Review Info:
Midterm Topic List
Midterm Review Packet
For Tuesday, complete Problem Set 10 - Special Integration Techniques
More review materials:
Midterm Review #1 - Limits and Continuity
Midterm Review #2 - Definition of derivative
Midterm Review #3 - Derivative formulas
Midterm Review #4 - Curve Sketching
Midterm Review #5 - Riemann Sums
Midterm Review #6 - Antiderivatives
The midterm will be made of:
10 Multiple Choice - non-Calculator
1 Free Response - non-Calculator
10 Multiple choice - Calculator Active
1 Free Response - Calculator Active
I will hand out topic list in class.
Today we learned about integration by parts. Here are some materials and screen shots from the day. For homework, students should finish the first page of the AP Exam Questions Integration by Parts handout.
Also, please take moment to read p. 363-363 on Partial Fractions
Example problem
Classwork Problems
Worked out Solutions to 1 and 2
Worked out Solutions to 3
AP Exam Questions Integration by Parts handout
Khan Academy Integration by Parts Videos
Click here for a screen shot of a Left Riemann Sums.
Click here for today's handout on Riemann sums.
2nd Quarter Project - Due Tue 12/3: Create an illustration / example for one of the concepts / vocab terms that we've learned. Do this on 8.5 x 11 inch paper. I will post these on my bulletin board and on my wall. Make the topic or term very clear. Think of it as a "mini poster". Be creative and have fun with it!
Here is the Rubric that I will use to score the project.
Here are the links to the videos from the day's when I was out:
Concavity, concave upwards and concave downwards intervals
Exercises: Recognizing Concavity
Inflection points
Graphing using derivatives
From Thursday: Please complete the BC Calculus Motion Problems for next week.
Today we learned about the Mean Value Theorem. You can access the guided notes here. There was also a Powerpoint Presentation.
Here is how you can mark up a multiple choice "Theorems" problem like 2003 AB 80 from the Mean Value Theorem handout.
On Friday, students learned the process for identifying local and absolute extreme values of functions and how to justify these ideas. Here is a screen shot of the "special cases" function which I discussed with notes added.
Halloween Activity
Students worked on the Linear Approximation Link Sheet during class. We will have a quiz on Wednesday on Implicit Differentiation, Related Rates and Linear Approximation.
We did two challenging AP multiple choice problems, one using Linear approximation and one using related rates.
Click here for 1998 BC 92, a linear approximation problem.
Click here for 1997 BC 23, a related rates problem. Here is a worked out solution to this problem. However, the green didn't show up to well.
From last week:
Click Here for a screen shot of a linear approximation problem.
On Wednesday we solved the Ladder Problem, which you will find marked up if you click the link.
The procedure for solving these problems can be found if you click here.
I handed back the derivatives test on Wednesday. Test corrections will be due on Monday, 10/28: Click her for the Test Corrections Procedure
We also reviewed the Implicit Diff Handout. Here are some screen shots:
Problems 1 - 5 from the Implicit Differentiation packet. Here are some pictures:
Problem 1 Problem 2 Problem 3 Problem 4 Problem 5
Here are some screen shots of the multiple choice problems from the packet:
1997 AB 17
1998 AB 6
2003 AB 26
2008 AB 16
The free response questions can be found at the AP Central website, here